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Finding the Fourth Proportional to 3,685.84, 5,093.60 and 2,743.04

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Solution

The fourth proportional to 3,685.84, 5,093.60 and 2,743.04 is: 3,790.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,685.84 : 5,093.60 = 2,743.04 : x
  2. Step 2: Convert to fraction form
    3,685.84/5,093.60 = 2,743.04/x
  3. Step 3: Cross multiply
    3,685.84x = 5,093.60 × 2,743.04
  4. Step 4: Simplify right side
    3,685.84x = 13,971,948.54
  5. Step 5: Solve for x
    x = 13,971,948.54/3,685.84
  6. Step 6: Final answer
    x = 3,790.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.